The concentration-compactness principles for Ws,p(·,·)(ℝN) and application

We obtain a critical imbedding and then, concentration-compactness principles for fractional Sobolev spaces with variable exponents. As an application of these results, we obtain the existence of many solutions for a class of critical nonlocal problems with variable exponents, which is even new for...

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Bibliographic Details
Main Authors: Ho Ky, Kim Yun-Ho
Format: Article
Language:English
Published: De Gruyter 2020-12-01
Series:Advances in Nonlinear Analysis
Subjects:
Online Access:https://doi.org/10.1515/anona-2020-0160